# Ilya Khayutin, Mathematics

I am an Assistant Professor of Mathematics at Northwestern University since summer 2019. Before that I was a a Veblen Research Instructor at Princeton University and the Institute for Advanced Study since 2016.

## Research​

I work in number theory and homogeneous dynamics.

## Papers

• Theta functions, fourth moments of eigenforms, and the sup-norm problem I, Ilya Khayutin and Raphael S. Steiner, 2020, preprint, arxiv

• Closed Geodesics on Products of Modular Curves, Ilya Khayutin, 2019, In preparation, tentative abstract

• Non-vanishing of Class Group $$L$$-functions for Number Fields with a Small Regulator, Ilya Khayutin, 2019, accepted at Compositio Math., arxiv

• Equidistribution on Kuga-Sato Varieties of Torsion Points on CM Elliptic Curves, Ilya Khayutin, 2018, accepted at the Journal of the EMS, arxiv

• Joint Equidistribution of CM Points, Ilya Khayutin, 2017, Annals of Math., arxiv
Videos: 15min talk, 1hr talk

• Arithmetic of Double Torus Quotients and the Distribution of Periodic Torus Orbits, Ilya Khayutin, 2015, Duke Math J., arxiv

• Large Deviations and Effective Equidistribution, Ilya Khayutin, 2015, Int. Math. Res. Not., arxiv

• Communication with Unobservable Constraints, Ilya Khayutin, 2007, Master’s Thesis, Manuscript

## Contact

email: last name@northwestern.edu

Mathematics Department, Northwestern University